Erdős-Rényi random graphs + forest fires = self-organized criticality

Balazs Rath; Balint A Toth

doi:10.1214/EJP.v14-653

Erdős-Rényi random graphs + forest fires = self-organized criticality

Balazs Rath, Balint A Toth

Research output: Contribution to journal › Article (Academic Journal) › peer-review

30 Citations (Scopus)

Abstract

We modify the usual Erdos-Renyi random graph evolution by letting connected clusters 'burn down' (i.e. fall apart to disconnected single sites) due to a Poisson flow of lightnings. In a range of the intensity of rate of lightnings the system sticks to a permanent.

Original language	English
Article number	45
Pages (from-to)	1290-1327
Number of pages	38
Journal	Electronic Journal of Probability
Volume	14
DOIs	https://doi.org/10.1214/EJP.v14-653
Publication status	Published - 15 Jun 2009

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@article{76b8ae099e59480db8d18440e8731539,

title = "Erd{\H o}s-R{\'e}nyi random graphs + forest fires = self-organized criticality",

abstract = "We modify the usual Erdos-Renyi random graph evolution by letting connected clusters 'burn down' (i.e. fall apart to disconnected single sites) due to a Poisson flow of lightnings. In a range of the intensity of rate of lightnings the system sticks to a permanent.",

author = "Balazs Rath and Toth, {Balint A}",

year = "2009",

month = jun,

day = "15",

doi = "10.1214/EJP.v14-653",

language = "English",

volume = "14",

pages = "1290--1327",

journal = "Electronic Journal of Probability",

issn = "1083-6489",

publisher = "Institute of Mathematical Statistics",

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T1 - Erdős-Rényi random graphs + forest fires = self-organized criticality

AU - Rath, Balazs

AU - Toth, Balint A

PY - 2009/6/15

Y1 - 2009/6/15

N2 - We modify the usual Erdos-Renyi random graph evolution by letting connected clusters 'burn down' (i.e. fall apart to disconnected single sites) due to a Poisson flow of lightnings. In a range of the intensity of rate of lightnings the system sticks to a permanent.

AB - We modify the usual Erdos-Renyi random graph evolution by letting connected clusters 'burn down' (i.e. fall apart to disconnected single sites) due to a Poisson flow of lightnings. In a range of the intensity of rate of lightnings the system sticks to a permanent.

U2 - 10.1214/EJP.v14-653

DO - 10.1214/EJP.v14-653

M3 - Article (Academic Journal)

SN - 1083-6489

VL - 14

SP - 1290

EP - 1327

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

M1 - 45

ER -

Erdős-Rényi random graphs + forest fires = self-organized criticality

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